82812120 has 64 divisors (see below), whose sum is σ = 253739520. Its totient is φ = 21611904.

The previous prime is 82812077. The next prime is 82812131. The reversal of 82812120 is 2121828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1702 + ... + 12981.

It is an arithmetic number, because the mean of its divisors is an integer number (3964680).

Almost surely, 2^82812120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126869760).

82812120 is an abundant number, since it is smaller than the sum of its proper divisors (170927400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82812120 is a wasteful number, since it uses less digits than its factorization.

82812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14744 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 82812120 is about 9100.1164827710. The cubic root of 82812120 is about 435.8776836133.

Adding to 82812120 its reverse (2121828), we get a palindrome (84933948).

It can be divided in two parts, 8281 and 2120, that added together give a palindrome (10401).

The spelling of 82812120 in words is "eighty-two million, eight hundred twelve thousand, one hundred twenty".